On coincidence of classes of functions defined by a generalised modulus of smoothness and the appropriate inverse theorem

Preprint English OPEN
Berisha, Faton M. (2012)
  • Subject: 41A35 (Primary) 41A50, 42A16 (Secondary) | Mathematics - Functional Analysis

We give the theorem of coincidence of a class of functions defined by a generalised modulus of smoothness with a class of functions defined by the order of the best approximation by algebraic polynomials. We also prove the appropriate inverse theorem in approximation theory.
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